Auckland to Los Angeles, California Direct Non-Stop Return $829 on American Airlines (March)
American Airlines are offering non-stop direct return flights to LA for $829. Now you can certainly get to LA cheaper like this current deal however that stops in Australia & San Francisco. For only $40 more, you can avoid the layovers and fly direct. 13 hours of travelling vs. 19 hours. Fares include bags, seats and meals. Dates seem to just be March.
Find the cheap days on Google Flights then plug in Momondo etc.